61964 has 12 divisors (see below), whose sum is σ = 123984. Its totient is φ = 26544.

The previous prime is 61961. The next prime is 61967. The reversal of 61964 is 46916.

61964 = T₈₇ + T₈₈ + ... + T₁₀₀.

It is an interprime number because it is at equal distance from previous prime (61961) and next prime (61967).

61964 is an admirable number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (61961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1079 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (10332).

2⁶¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

61964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61992).

61964 is a wasteful number, since it uses less digits than its factorization.

61964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2222 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 61964 is about 248.9256917235. The cubic root of 61964 is about 39.5712541783.

The spelling of 61964 in words is "sixty-one thousand, nine hundred sixty-four".